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Finding the Third Proportional to 358,074 and 753,011

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Solution

The third proportional to 358,074 and 753,011 is: 1,583,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,074 : 753,011 = 753,011 : x
  2. Step 2: Convert to fraction form
    358,074/753,011 = 753,011/x
  3. Step 3: Cross multiply
    358,074x = 753,011 × 753,011
  4. Step 4: Simplify right side
    358,074x = 567,025,566,121
  5. Step 5: Solve for x
    x = 567,025,566,121/358,074
  6. Step 6: Final answer
    x = 1,583,542.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.